Question

Name the point that corresponds to (4, 10) after applying the specified transformations to the graph of y=5/2 x(hint: if you are not sure, draw a sketch) a reflection across the x-axis followed by a vertical stretch by a factor of 2 a. (4, 23) c. (-4, 7) b. (4, -20) d. (12, 15)

Answer 1

We are first given

`\begin{gathered} y=(5)/(2)x \\ \text{and the point} \\ (4,10) \end{gathered}`

A reflection across the x-axis

`y=-(5)/(2)x`

A vertical stretch by a factor of 2

`y=2(-(5)/(2)x)`

Now, put x = 4

`y=2(-(5)/(2)x)=2(-(5)/(2)(4))=-20`

We have the point

`(4,-20)`

The graph below will help

Therefore, the answer is

`(4,-20)`